Question

sum of roots of quadratic equation X square - 4 x + 2 is equal to zero is a product of root​

Answer 1

Answer:

x=-2/4

Step-by-step explanation:

4x+2=0

4x=-2

x=-2/4

Answer 2

For the given quadratic equation $x^2-4x+2=0$

Sum of the roots is$\alpha=4$

Product of the roots is $\beta=2$

Step-by-step explanation:

Given quadratic equation is $x^2-4x+2=0$

To find the sum of the roots and the product of the roots of the given equation :

• Let $\alpha$ be the Sum of the roots
• And let $\beta$ be the product of the roots

For the quadratic equation $ax^2+bx+c=0$ we have a=1 , b=-4 and c=2

• Sum of the roots  $\alpha=\frac{-b}{a}$

$=\frac{-(-4)}{1}$

Therefore $\alpha=4$

• Product of the roots $\beta=\frac{c}{a}$

$=\frac{2}{1}$

$=2$

Therefore $\beta=2$

For the given quadratic equation $x^2-4x+2=0$

Sum of the roots is$\alpha=4$

Product of the roots is $\beta=2$